最適化・制御セミナー
日時:平成19年1月22日(月) 10:30--12:00
場所:計数大セミナー室(工14号館626号室)
講演者:Prof. Isaac Elishakoff(Florida Atlantic University)
タイトル:"Can one hear the shape of a drum/dream?" and related topics
Abstract:
A mathematician, Mark Kac, was the first one to pose the question in the title over a quarter century ago. The essence of the question is whetehr the infinite set of eigenvalues determines the shape of the structure uniquely. The question generated numerous papers and finally a negative reply. In this lecture we deal with a more modest objective: Construct the structure that has a postulated mode shape.As it often happens, this humbler approach showed that "less is more"--which is consistent with the oriental thinking-- and resulted with some first closed-form solutions in buckling and vibrations.
(連絡先:数理情報学専攻 寒野 善博, 内線:26906) |